Mathematics teachers' covariational reasoning levels and predictions about students' covariational reasoning abilities

2010-06-01
Various studies suggest that covariational reasoning plays an important role on understanding the fundamental ideas of calculus and modeling dynamic functional events. The purpose of this study was to investigate a group of mathematics teachers' covariational reasoning abilities and predictions about their students. Data were collected through interviews conducted with five secondary mathematics teachers to reveal about their covariational reasoning abilities as they worked through a model-eliciting activity, predictions about their students' possible approaches to solve the given problem, possible mistakes in solving the problem, and misconceptions they possibly held. The results showed that not only the teachers' covariational reasoning abilities were weak and lack depth but also their predictions about students' reasoning abilities bounded by their own thoughts related to the problem. © 2010 Eǧitim Danişmanliǧi ve Araştirmalari İletişim Hizmetleri Tic. Ltd. Şti.
Kuram ve Uygulamada Egitim Bilimleri

Suggestions

Mathematics Teachers' Covariational Reasoning Levels and Predictions about Students' Covariational Reasoning Abilities
Sen Zeytun, Aysel; Centinkaya, Buelent; Erbaş, Ayhan Kürşat (2010-06-01)
Various studies suggest that covariational reasoning plays an important role on understanding the fundamental ideas of calculus and modeling dynamic functional events. The purpose of this study was to investigate a group of mathematics teachers' covariational reasoning abilities and predictions about their students. Data were collected through interviews conducted with five secondary mathematics teachers to reveal about their covariational reasoning abilities as they worked through a model-eliciting activit...
Pre-service elementary mathematics teachers’ understanding of derivative through a model development unit
Kertil, Mahmut; Erbaş, Ayhan Kürşat; Department of Secondary Science and Mathematics Education (2014)
The purpose of this study was to investigate pre-service mathematics teachers’ understanding of ‘big ideas’ involved in derivative such as covariational reasoning, rate of change, and the graphical connections between a function and its derivative. In this design-based study, a model development unit was designed, experimented, and evaluated in a real classroom setting as a part of a course offered to pre-service mathematics teachers in two iterations. The data were collected from the 20 pre-service mathema...
Measuring striving for understanding and learning value of geometry: a validity study
Ubuz, Behiye (Informa UK Limited, 2017-01-01)
The current study aimed to construct a questionnaire that measures students' personality traits related to striving for understanding and learning value of geometry and then examine its psychometric properties. Through the use of multiple methods on two independent samples of 402 and 521 middle school students, two studies were performed to address this issue to provide support for its validity. In Study 1, exploratory factor analysis indicated the two-factor model. In Study 2, confirmatory factor analysis ...
Developing prospective teachers’ covariational reasoning through a model development sequence
Kertil, Mahmut; Erbaş, Ayhan Kürşat; Çetinkaya, Bülent (Informa UK Limited, 2019-2-8)
Forming part of a wider research study, the current study investigated prospective middle school mathematics teachers' ways of covariational reasoning on tasks involving simultaneously changing quantities. As the introductory theme of a larger unit on derivative, a model development sequence on covariational reasoning was designed and experimented with 20 participants in a mathematical modeling course offered to prospective teachers. The participants' developing abilities of covariational reasoning were doc...
THE THINKING-ABOUT-DERIVATIVE TEST FOR UNDERGRADUATE STUDENTS: DEVELOPMENT AND VALIDATION
UBUZ, BEHİYE; Ubuz, Behiye (Springer Science and Business Media LLC, 2015-12-01)
Two studies were conducted for the development and validation of a multidimensional test to assess undergraduate students' mathematical thinking about derivative. The first study involved two phases: question generation and refinement of the Thinking-about-Derivative Test (TDT). The second study included four phases as follows: test administration, generalizability analysis, confirmatory factor analysis, and subgroup validity analysis. Findings suggested that the 30-item multiple-choice TDT, which comprises...
Citation Formats
A. Şen Zeytun, B. Çetinkaya, and A. K. Erbaş, “Mathematics teachers’ covariational reasoning levels and predictions about students’ covariational reasoning abilities,” Kuram ve Uygulamada Egitim Bilimleri, vol. 10, no. 3, pp. 1601–1612, 2010, Accessed: 00, 2022. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77956045053&origin=inward.